GCF of 6745/783, 7959/217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6745/783, 7959/217 i.e 1/169911 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6745/783, 7959/217.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6745/783,7959/217?
Given fractions are 6745/783,7959/217
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6745/783,7959/217, numerators are 6745,7959
Denominators are 783,217
The GCF of 6745,7959 is 1 .
LCM of 783,217 is 169911.
The greatest common factor of 6745/783,7959/217 = [GCF of 6745,7959]/[LCM of 783,217]= 1/169911
Therefore, the GCF of 6745/783,7959/217 is 1/169911.
To find the highest common factor of 6745,7959, we have to find the factors of both numbers and list the highest common factor.
The factors of 6745 are 1, 5, 19, 71, 95, 355, 1349, 6745
The factors of 7959 are 1, 3, 7, 21, 379, 1137, 2653, 7959
The HCF of 6745,7959 is 1.
Lets's calculate GCF of 6745,7959
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6745,7959 By Matching Biggest Common Factor Method
Now, list down the factors of 6745
:1,5,19,71,95,355,1349,6745
Now, list down the factors of 7959
:1,3,7,21,379,1137,2653,7959
Greatest Common Factor
We found the factors 6745,7959 . The biggest common factor number is the GCF number.
So the greatest common factor 6745,7959 is 1.
Lets's calculate LCM of 783,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 169911
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169911
Therefore, the GCF of Fractions 6745/783,7959/217 is 1/169911
Least Common Multiple of 783,217 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 783,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(783,217) x common factors =1 x 1 = 1
LCM(783,217) = ( 783 × 217 ) / 1
LCM(783,217) = 169911 / 1
LCM(783,217) = 169911
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FAQs on GCF of Fractions of 6745/783, 7959/217
1. What is the HCF of 6745,7959?
The HCF of 6745,7959 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6745/783, 7959/217?
Answer: GCF of Numerators as per given numbers 6745/783, 7959/217 is
GCF of Numerators i.e. for 6745,7959 is 1
LCM of denominators i.e. for 783,217 is 169911.
Thus, GCF of Fractions is 1/169911.Finally, GCF of Fractions for 6745/783, 7959/217 is 1/169911.